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http://dx.doi.org/10.4134/BKMS.2014.51.3.823

SOME CLASSIFICATIONS OF RULED SUBMANIFOLDS  

Kim, Dong-Soo (Department of Mathematics Chonnam National University)
Kim, Young Ho (Department of Mathematics Kyungpook National University)
Jung, Sun Mi (Department of Mathematics Kyungpook National University)
Publication Information
Bulletin of the Korean Mathematical Society / v.51, no.3, 2014 , pp. 823-829 More about this Journal
Abstract
Ruled submanifolds in Euclidean space satisfying some algebraic equations concerning the Laplace operator related to the isometric immersion and Gauss map are studied. Cylinders over a finite type curve or generalized helicoids are characterized with such algebraic equations.
Keywords
Gauss map; ruled submanifold; Grassmannian manifold;
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